{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# numpy: Tools"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Other tools\n",
    "\n",
    "* `numpy.linalg`\n",
    "* `scipy`\n",
    "* `matplotlib`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as pt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f79b98ad668>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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oosTOt99C584wZAj8+MehoxHJDpVZJHZuuQWWLPGbTlilf6SK5BaVWaSgvfOOL6/MmaNE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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f79bc0c8748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-10, 10, 100)\n",
    "pt.plot(x, np.sin(x)+x*0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f79b97bc278>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0u0r/Vy+cMsqnw2KOLD+74e0355uXVRfLv6W9ohA/cL+f4MFvr/Kri1vevvwi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\nnk+oakJfEwYtlV1GBaMizko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aMMm94PMc5YZtDtYKw5WSMmEt+AP4fL7/FSxfVMxpG0yr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F89VmXlR9b58BqN6XZj109vFKdBOyeVFi/yUlQB0wZqK30KlZWSWi3OWRK/sWEYa6bXivBzsdKR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\n0r8b78Y32Ph/AVGLj/lohE0/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f79b987d8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pic = np.sin(x).reshape(len(x), 1)  * np.cos(x)\n",
    "pt.imshow(pic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 0
}